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Atlas › Integer Profiles › Node 3,967,730

3,967,730

2 × 5 × 13 × 23 × 1327
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 13 × 23 × 1327
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,031,744
Proper Divisor Sum 4,064,014
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3967727 ← → #3967741

Radix Representation

Decimal 3967730
Binary 1111001000101011110010 (22 bits)
Octal 0o17105362
Hexadecimal 0x3C8AF2

Divisor Catalog (32)

1 2 5 10 13 23 26 46 65 115 130 230 299 598 1,327 1,495 2,654 2,990 6,635 13,270 17,251 30,521 34,502 61,042 86,255 152,605 172,510 305,210 396,773 793,546 1,983,865 3,967,730

Collatz Trajectory (198 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,967,730 1,983,865 5,951,596 2,975,798 1,487,899 4,463,698 2,231,849 6,695,548 3,347,774 1,673,887 5,021,662 2,510,831 7,532,494 3,766,247 11,298,742 5,649,371 16,948,114 8,474,057 25,422,172 12,711,086 6,355,543 19,066,630 9,533,315 28,599,946 14,299,973 42,899,920 21,449,960 10,724,980 5,362,490 2,681,245 8,043,736 4,021,868 2,010,934 1,005,467 3,016,402 1,508,201 4,524,604 2,262,302 1,131,151 3,393,454 1,696,727 5,090,182 2,545,091 7,635,274 3,817,637 11,452,912 5,726,456 2,863,228 1,431,614 715,807 2,147,422 1,073,711 3,221,134 1,610,567 4,831,702 2,415,851 7,247,554 3,623,777 10,871,332 5,435,666

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